Answer all parts with step by step calculation

Consider the relationship between the total weight of a shipment of SCI-pound bags of flour, 3/, and the number of bags in the shipment. x. Since a shipment containing x = 0 bags (i.e., no shipment at all) has a total weight of y = O, a straight- Iine model of the relationship between x and y should pass through the point x = O, y = 0. Hence, the appropriate model might be y=mx+a From the records of past flour shipments, 15 shipments were randomly chosen and the data recorded in Table 3 recorded. \f1. Using the calculation formulas to determine the Regression through the Origin Line for the given data. 2. Calculate SSE, an estimator for the error variance and the standard error for the regression through the origin line. 3. Construct a 95% confidence interval for B. 4. Construct a 95% confidence interval for E(y) when x = 125. 5. Construct a 95% prediction interval for y when x = 125.1. Ca = T= SS XX SS xy B, = 2. SSE = Estimator for the error variance = Standard error = 3. The standard error of beta hat 1 is = The t - table value = Lower Limit of CI[B, Jo.95 Upper Limit of CI[B,10.954. Point estimator is = Lower Limit of Cl[E(y]] Upper Limit of Cl[E(y]] 5. Lower Limit of Pl[y] Upper Limit of PIIy] 0.95 0.95 0.95 I335